TSTP Solution File: GEO008-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:13:02 EDT 2022
% Result : Unsatisfiable 3.03s 3.22s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 15 RR)
% Number of literals : 24 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( ~ between(X,Y,Z)
| between(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(b8,axiom,
( ~ between(X,Y,Z)
| ~ between(Y,U,Z)
| between(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
cnf(b9,axiom,
( ~ between(X,Y,Z)
| ~ between(X,Z,U)
| between(X,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).
cnf(b14,axiom,
( ~ between(X,Y,Z)
| ~ between(X,U,Z)
| between(Y,U,Z)
| between(U,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b14) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(b_between_c_and_d,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_c_and_d) ).
cnf(prove_betweenness,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_betweenness) ).
cnf(106,plain,
between(d,b,c),
inference('HYPERRESOLVE',[status(thm)],[t1,b_between_c_and_d]) ).
cnf(183,plain,
~ between(c,b,e),
inference('UR-RESOLVE',[status(thm)],[b8,c_between_a_and_e,prove_betweenness]) ).
cnf(184,plain,
~ between(d,b,e),
inference('UR-RESOLVE',[status(thm)],[b8,d_between_a_and_e,prove_betweenness]) ).
cnf(275,plain,
( between(c,d,e)
| between(d,c,e) ),
inference('HYPERRESOLVE',[status(thm)],[b14,c_between_a_and_e,d_between_a_and_e]) ).
cnf(1732,plain,
~ between(c,d,e),
inference('UR-RESOLVE',[status(thm)],[b9,183,b_between_c_and_d]) ).
cnf(1733,plain,
between(d,c,e),
inference('REWRITE',[status(thm)],[275,1732]) ).
cnf(1744,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[b9,184,106]),1733]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 04:08:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T04:08:26
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T04:08:26
% 0.18/0.49
% 3.03/3.22 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 3.03/3.22
% 3.03/3.22 #||
% 3.03/3.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.03/3.22 % SZS output start Refutation
% See solution above
% 3.03/3.22 ||#
% 3.03/3.22
% 3.03/3.22 ; Summary of computation:
% 3.03/3.22 ; 12073 formulas have been input or derived (from 98 formulas).
% 3.03/3.22 ; 1744 (14%) were retained. Of these,
% 3.03/3.22 ; 61 ( 3%) were simplified or subsumed later,
% 3.03/3.22 ; 1683 (97%) are still being kept.
% 3.03/3.22 ;
% 3.03/3.22 ; Run time in seconds excluding printing time:
% 3.03/3.22 ; 0.019 1% Read assertion file (1 call)
% 3.03/3.22 ; 0.004 0% Assert (85 calls)
% 3.03/3.22 ; 0.161 6% Process new row (8,594 calls)
% 3.03/3.22 ; 2.321 84% Resolution (194 calls)
% 3.03/3.22 ; 0.002 0% Paramodulation (97 calls)
% 3.03/3.22 ; 0.000 0% Factoring (1 call)
% 3.03/3.22 ; 0.006 0% Condensing (648 calls)
% 3.03/3.22 ; 0.036 1% Forward subsumption (648 calls)
% 3.03/3.22 ; 0.022 1% Backward subsumption (563 calls)
% 3.03/3.22 ; 0.009 0% Clause clause subsumption (5,778 calls)
% 3.03/3.22 ; 0.120 4% Forward simplification (8,594 calls)
% 3.03/3.22 ; 0.013 0% Backward simplification (1,738 calls)
% 3.03/3.22 ; 0.001 0% Ordering (954 calls)
% 3.03/3.22 ; 0.001 0% Sortal reasoning (32 calls)
% 3.03/3.22 ; 0.000 0% Purity testing (1 call)
% 3.03/3.22 ; 0.043 2% Other
% 3.03/3.22 ; 2.758 Total
% 3.03/3.22 ; 2.759 Real time
% 3.03/3.22 ;
% 3.03/3.22 ; Term-hash-array has 3,430 terms in all.
% 3.03/3.22 ; Feature-vector-row-index has 553 entries (554 at peak, 563 added, 10 deleted).
% 3.03/3.22 ; Feature-vector-row-index has 2,925 nodes (2,925 at peak, 2,976 added, 51 deleted).
% 3.03/3.22 ; Retrieved 4,806 possibly forward subsuming rows in 648 calls.
% 3.03/3.22 ; Retrieved 1,284 possibly backward subsumed rows in 563 calls.
% 3.03/3.22 ; Path-index has 3,347 entries (3,347 at peak, 3,454 added, 107 deleted).
% 3.03/3.22 ; Path-index has 3,583 nodes (3,583 at peak, 3,674 added, 91 deleted).
% 3.03/3.22 ; Trie-index has 3,347 entries (3,347 at peak, 3,454 added, 107 deleted).
% 3.03/3.22 ; Trie-index has 21,078 nodes (21,078 at peak, 21,443 added, 365 deleted).
% 3.03/3.22 ; Retrieved 51,884 generalization terms in 17,876 calls.
% 3.03/3.22 ; Retrieved 2,038 instance terms in 1,174 calls.
% 3.03/3.22 ; Retrieved 6,854,537 unifiable terms in 69,086 calls.
% 3.03/3.22 ;
% 3.03/3.22 ; The agenda of rows to process has 18 entries:
% 3.03/3.22 ; 7 with value 7 3 with value 12 1 with value 16
% 3.03/3.22 ; 2 with value 10 3 with value 13 1 with value 18
% 3.03/3.22 ; 1 with value 11
% 3.03/3.22 ; The agenda of rows to give has 1585 entries:
% 3.03/3.22 ; 5 with value (4 6) 38 with value (4 30) 3 with value (4 55)
% 3.03/3.22 ; 21 with value (4 7) 19 with value (4 31) 1 with value (4 56)
% 3.03/3.22 ; 10 with value (4 8) 14 with value (4 32) 17 with value (4 57)
% 3.03/3.22 ; 20 with value (4 9) 7 with value (4 33) 9 with value (4 58)
% 3.03/3.22 ; 48 with value (4 10) 22 with value (4 34) 4 with value (4 59)
% 3.03/3.22 ; 51 with value (4 11) 59 with value (4 35) 3 with value (4 61)
% 3.03/3.22 ; 143 with value (4 12) 57 with value (4 36) 2 with value (4 63)
% 3.03/3.22 ; 84 with value (4 13) 10 with value (4 38) 6 with value (4 65)
% 3.03/3.22 ; 44 with value (4 14) 7 with value (4 39) 3 with value (4 66)
% 3.03/3.22 ; 72 with value (4 15) 5 with value (4 40) 1 with value (4 67)
% 3.03/3.22 ; 87 with value (4 16) 7 with value (4 41) 5 with value (4 69)
% 3.03/3.22 ; 122 with value (4 17) 6 with value (4 42) 3 with value (4 70)
% 3.03/3.22 ; 63 with value (4 18) 2 with value (4 43) 1 with value (4 71)
% 3.03/3.22 ; 56 with value (4 19) 3 with value (4 44) 1 with value (4 73)
% 3.03/3.22 ; 26 with value (4 20) 10 with value (4 45) 2 with value (4 75)
% 3.03/3.22 ; 87 with value (4 21) 8 with value (4 46) 6 with value (4 77)
% 3.03/3.22 ; 59 with value (4 22) 12 with value (4 47) 3 with value (4 78)
% 3.03/3.22 ; 29 with value (4 23) 8 with value (4 48) 1 with value (4 81)
% 3.03/3.22 ; 18 with value (4 24) 2 with value (4 49) 2 with value (4 85)
% 3.03/3.22 ; 40 with value (4 25) 13 with value (4 51) 1 with value (4 87)
% 3.03/3.22 ; 30 with value (4 26) 7 with value (4 52) 1 with value (4 91)
% 3.03/3.22 ; 15 with value (4 27) 8 with value (4 53) 1 with value (4 95)
% 3.03/3.22 ; 24 with value (4 28) 3 with value (4 54) 1 with value (4 111)
% 3.03/3.22 ; 27 with value (4 29)
% 3.03/3.22 Evaluation took:
% 3.03/3.22 2.76 seconds of real time
% 3.03/3.22 2.685002 seconds of user run time
% 3.03/3.22 0.07489 seconds of system run time
% 3.03/3.22 [Run times include 0.09 seconds GC run time.]
% 3.03/3.22 0 calls to %EVAL
% 3.03/3.22 0 page faults and
% 3.03/3.22 147,936,440 bytes consed.
% 3.03/3.22 :PROOF-FOUND
% 3.03/3.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T04:08:28
% 3.03/3.22 :PROOF-FOUND
% 3.03/3.22 *
%------------------------------------------------------------------------------